3.The population of a certain country is known to increase at a rate proportional tothe number of people presently living in the country. If after two years, thepopulation has doubled, and 3 years the population is 20, 000. Find the numberof people initially living in the country? Radium disintegrates at a rate proportional to the amount of radiuminstantaneously present. If the half – life of radium, that is, the time required forone-half of any given amount of radium to disintegrate is 1590 years, obtain aformula for the amount radium present after t years. How long will it be beforeone-fourth of the original amount has disintegrated? What fraction of the originalamount will disintegrate during the first century, during the third century, andduring the tenth century?4.

Answered: Image /qna-images/answer/67c8f3a2-385f-4b90-ab71-a1821a6b1f6c.jpg

3. The population of a certain country is known to increase at a rate proportional to the number of people presently living in the country. If after two years, the population has doubled, and 3 years the population is 20, 000. Find the number of people initially living in the country?

3. The population of a certain country is known to increase at a rate proportional to the number of people presently living in the country. If after two years, the population has doubled, and 3 years the population is 20, 000. Find the number of people initially living in the country?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 9T

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Question

3.
The population of a certain country is known to increase at a rate proportional to
the number of people presently living in the country. If after two years, the
population has doubled, and 3 years the population is 20, 000. Find the number
of people initially living in the country?

Radium disintegrates at a rate proportional to the amount of radium
instantaneously present. If the half – life of radium, that is, the time required for
one-half of any given amount of radium to disintegrate is 1590 years, obtain a
formula for the amount radium present after t years. How long will it be before
one-fourth of the original amount has disintegrated? What fraction of the original
amount will disintegrate during the first century, during the third century, and
during the tenth century?
4.

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